Publications [#330286] of Alexander A. Kiselev

Papers Published

1. Kiselev, A; Šverák, V, Small scale creation for solutions of the incompressible two-dimensional Euler equation, Annals of Mathematics, vol. 180 no. 3 (January, 2014), pp. 1205-1220, Annals of Mathematics, Princeton U [doi]
   (last updated on 2025/01/30)

   Abstract:
   We construct an initial data for the two-dimensional Euler equation in a disk for which the gradient of vorticity exhibits double exponential growth in time for all times. This estimate is known to be sharp - the double exponential growth is the fastest possible growth rate. © 2014 Department of Mathematics, Princeton University.